{"schema":"vela.problem-packet.v0.1","problem":403,"statement":"Does the equation\\[2^m=a_1!+\\cdots+a_k!\\]with $a_1<a_2<\\cdots <a_k$ have only finitely many solutions?","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}